Why a massless spin-2 field transforms with a diffeomorphism
A follow-up to the spin-1 gauge argument, deriving the linearized diffeomorphism invariance of a massless spin-2 field from the little-group structure of quantum mechanics.
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Why a massless vector field transforms with a gauge shift
A detailed derivation, following the little-group logic of Weinberg, of why a Lorentz-covariant massless spin-1 field cannot transform as a pure four-vector.
Why do we use SU(2) in Quantum Mechanics instead of SO(3)
When we study rotation symmetry in quantum mechanics SU(2) is tipically used instead of SO(3). Why is it so is tipically not well explained in undergraduate courses.
Bayesian inference for parameter estimation
Simple example of the Bayesian view of probability. We also show how the prior beliefs about the phenomena influence the posterior in the case of tossing coins.
Naive Bayes for text classification
Naive Bayes explained and used in an example for text classification. Coded from scratch for illustration purposes and also with scikitlearn.